ChatterBank0 min ago
number puzzle
4 Answers
a boy spent �180 on footballs from a shop if he had bought them from the shop next door he would have paid �3 more per ball so would have got two less balls for his money
how many did he buy in the first shop
how many did he buy in the first shop
Answers
1 to 4 of 4
Best Answer
No best answer has yet been selected by bobobalde111. Once a best answer has been selected, it will be shown here.
For more on marking an answer as the "Best Answer", please visit our FAQ.
Method of solution:
Suppose he first buys N balls at �P then NxP = 180
and (N - 2) (P + 3) =NxP which becomes 2P = 3N - 6
Multiplying this second equation by N : 2NxP = 3N^2-6N
But NxP - 180, so we finally get 2x180 = 3N^2 -6N
Solving N^2 -2N - 120 = 0
That is (N-12)(N+10)= 0
Hence N = 12 (or N = -10)
So he buys N = 12 balls!
Suppose he first buys N balls at �P then NxP = 180
and (N - 2) (P + 3) =NxP which becomes 2P = 3N - 6
Multiplying this second equation by N : 2NxP = 3N^2-6N
But NxP - 180, so we finally get 2x180 = 3N^2 -6N
Solving N^2 -2N - 120 = 0
That is (N-12)(N+10)= 0
Hence N = 12 (or N = -10)
So he buys N = 12 balls!
1 to 4 of 4
